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Finding the Fourth Proportional to 1,110.74, 1,533.06 and 638.71

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Solution

The fourth proportional to 1,110.74, 1,533.06 and 638.71 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.74 : 1,533.06 = 638.71 : x
  2. Step 2: Convert to fraction form
    1,110.74/1,533.06 = 638.71/x
  3. Step 3: Cross multiply
    1,110.74x = 1,533.06 × 638.71
  4. Step 4: Simplify right side
    1,110.74x = 979,180.75
  5. Step 5: Solve for x
    x = 979,180.75/1,110.74
  6. Step 6: Final answer
    x = 881.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.